Smale Spaces via Inverse Limits
Dynamical Systems
2019-02-20 v1
Abstract
A Smale space is a chaotic dynamical system with canonical coordinates of contracting and expanding directions. The basic sets for Smale's Axiom A systems are a key class of examples. We consider the special case of irreducible Smale spaces with zero dimensional contracting directions, and characterize these as stationary inverse limits satisfying certain conditions.
Cite
@article{arxiv.1206.0802,
title = {Smale Spaces via Inverse Limits},
author = {Susana Wieler},
journal= {arXiv preprint arXiv:1206.0802},
year = {2019}
}
Comments
26 pages, 7 figures, summary of PhD thesis